https://doi.org/10.1140/epjb/e2017-80372-4
Regular Article
Comparison of pure and combined search strategies for single and multiple targets*
1 Department of Chemical Engineering and Biotechnology, University of Cambridge, Cambridge CB3 0AS, UK
2 Physics Department, Moscow State University, 119991 Moscow, Russia
3 Queen Mary University of London, School of Mathematical Sciences, Mile End Road, London E1 4NS, UK
4 Institute for Physics & Astronomy, University of Potsdam, 14476 Potsdam-Golm, Germany
5 Akhiezer Institute for Theoretical Physics NSC KIPT, 61108 Kharkov, Ukraine
a
e-mail: achechkin@kipt.kharkov.ua
Received: 25 June 2017
Published online: 13 September 2017
We address the generic problem of random search for a point-like target on a line. Using the measures of search reliability and efficiency to quantify the random search quality, we compare Brownian search with Lévy search based on long-tailed jump length distributions. We then compare these results with a search process combined of two different long-tailed jump length distributions. Moreover, we study the case of multiple targets located by a Lévy searcher.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2017